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3 years ago

Please help I need this asap

Mathematics

1 answer:

ASHA 777 [7]3 years ago

3 0

Answer:

The answer is C.

Step-by-step explanation:

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A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 259.2-cm and a standard dev

Varvara68 [4.7K]

Answer:

The probability that the average length of rods in a randomly selected bundle of steel rods is greater than 259 cm is 0.65173.

Step-by-step explanation:

We are given that a company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 259.2 cm and a standard deviation of 2.1 cm. For shipment, 17 steel rods are bundled together.

Let $\bar X$ = the average length of rods in a randomly selected bundle of steel rods

The z-score probability distribution for the sample mean is given by;

Z = $\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }$ ~ N(0,1)

where, $\mu$ = population mean length of rods = 259.2 cm

$\sigma$ = standard deviaton = 2.1 cm

n = sample of steel rods = 17

Now, the probability that the average length of rods in a randomly selected bundle of steel rods is greater than 259 cm is given by = P( $\bar X$ > 259 cm)

P( $\bar X$ > 259 cm) = P( $\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }$ > $\frac{259-259.2}{\frac{2.1}{\sqrt{17} } }$ ) = P(Z > -0.39) = P(Z < 0.39)

= 0.65173

The above probability is calculated by looking at the value of x = 0.39 in the z table which has an area of 0.65173.

8 0

3 years ago

Please please please help me with this answer

Rasek [7]

x = number of packages he bought

y = number of popsicles in each package

Here are the two equations:

xy = 54

x = 3 + y

Using the substitution method, you can solve them to find x and y.

(3 + y)y = 54,

3y + y^2 = 54

y^2 + 3y - 54 = 0

Solve the quadriatic equation:

(y +9)(y - 6) = 0

y = -9, 6.

Plug y into: xy = 54

x(-9) = 54, x = -6.

x(6) = 54, x = 9.

So he bought 9 packages of popsicles, bc you can't bye -6 packages.

3 0

3 years ago

A square image of an object on a video game has an initial side length of 25 pixels. To make the object appear closer, the side

Pani-rosa [81]

Answer: A(t) = 100t^2 + 500t + 625

3,025 square pixels

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Loretta’s income last year was $81,300. She made $56,800 at her salaried job and had additional passive income. If Loretta earne

Mice21 [21]

81300 - 56800 = 24500....so she made 24500 in passive income for the year.
We need per month, so we divide by 12 because there is 12 months in a yr.
24500/12 = 2041.67 per month

3 0

3 years ago

Write the point-slope form of the equation of the line through the given point woth the given slope

Andrej [43]

Answer:

3.) $\displaystyle y - 4 = 4[x - 1]$

2.) $\displaystyle y + 5 = 2[x + 2]$

1.) $\displaystyle y + 3 = 1\frac{1}{5}[x + 5]$

Step-by-step explanation:

In the Point-Slope Formula, $\displaystyle y - y_1 = m[x - x_1],$ all the negative symbols give the OPPOSITE terms of what they really are, so be EXTREMELY CAREFUL inserting the coordinates into the formula with their CORRECT SIGNS.

* $\displaystyle 1\frac{1}{5} = \frac{6}{5}$

I am joyous to assist you anytime.

3 0

2 years ago